Geodesic
On the centralizers of finite subgroups in quasi-HNN groups
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2010), pp. 100-108

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Quasi-HNN groups can be characterized as a generalization of HNN groups in the sense that there is a stable letter $t$ such that the element $t^2$ is in the base. In this paper we show that under certain conditions the centralizer of a finite subgroup in a quasi-HNN group is contained in a conjugate of the base. As an application we show that the centralizer of a finite subgroup in a one-relator group is contained in a conjugate of a one-relator subgroup of shorter relator. 
@article{BASM_2010_2_a6,
     author = {R. M. S. Mahmood},
     title = {On the centralizers of finite subgroups in {quasi-HNN} groups},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {100--108},
     publisher = {mathdoc},
     number = {2},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2010_2_a6/}
}
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R. M. S. Mahmood. On the centralizers of finite subgroups in quasi-HNN groups. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2010), pp. 100-108. http://geodesic.mathdoc.fr/item/BASM_2010_2_a6/